On -normally embedded subgroups of finite soluble groups
A. Ballester-Bolinches, M. C. Pedraza-Aguilera, M. D. Pérez-Ramos (1996)
Rendiconti del Seminario Matematico della Università di Padova
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On -normally embedded subgroups of finite soluble groups
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Rendiconti del Seminario Matematico della Università di Padova
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We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.
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New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.
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-normally embedded subgroups of finite soluble groups
A. Ballester-Bolinches, M. D. Pérez-Ramos (1995)
Rendiconti del Seminario Matematico della Università di Padova
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